Electronics and Communication Engineering
2019 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ECE 2019 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.
Question 45
Open questionECNAT2 marksNeeds review
Let a random process
be described as
, where
is a white noise process with power spectral density
. The filter
has a magnitude response given by
for
, and zero elsewhere.
is a stationary random process, uncorrelated with
, with power spectral density as shown in the figure. The power in
, in watts, is equal to ______ W (rounded off to two decimal places). 
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Open questionECNAT2 marksNeeds review
A voice signal
is in the frequency range 5 kHz to 15 kHz. The signal is amplitude-modulated to generate an AM signal
, where
kHz. The AM signal
is to be digitized and archived. This is done by first sampling
at 1.2 times the Nyquist frequency, and then quantizing each sample using a 256-level quantizer. Finally, each quantized sample is binary coded using
bits, where
is the minimum number of bits required for the encoding. The rate, in Megabits per second (rounded off to 2 decimal places), of the resulting stream of coded bits is ______ Mbps.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 47
Open questionECNAT2 marksNeeds review
A random variable
takes values
and
with probabilities 0.2 and 0.8, respectively. It is transmitted across a channel which adds noise
, so that the random variable at the channel output is
. The noise
is independent of
, and is uniformly distributed over the interval
. The receiver makes a decision
where the threshold
is chosen so as to minimize the probability of error
. The minimum probability of error, rounded off to 1 decimal place, is ______.Log in to check the answer
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